Interpolation and application, finite differences, Newton Gregory and Lagrange's interpolation formulae,
Inverse interpolation. Fundamentals of error expressions in interpolation formulae, Numerical
differentiation. Numerical. Integration : trapezoidal rule and Simpson's one third rule.. Curve fitting by
method of least squares'
Numerical solution of algebraic and transcendental equation using methods of ordinary iteration, Regula-
Falsi and Newton-Raphson, condition for convergence and rate of convergence. Multiple roots polynomial
equations, Solution of '
systems of non-linear equations by Newton-Raphson method. Simple problems.
Solutions of systems of linear equations: Gauss Jacobi, Gauss-Seidel and Relaxation methods. Solutions
of tridiagonal systems. Eigen values and eigen vectors of matrices and elementary properties. Computation
of largest eigen value by Power Method.
Numerical solution of initial value problems in ordinary differential equations by Taylor series method,
Euler's methods of second and fourth orders.
The moment generation function and its properties, Fundamental concepts of frequency distribution, mean,
mode, standard deviation and their properties and application.
Text Books:
S.S.Sastry: Introductory Method of Numerical Analysis, edn 1990, Prentice Hall. "";
S. A. Mollah “Numerical Analysis and Computational Procedures” Books and Allied Publishers
N. G. Das “Statistical Methods in Commerce, accountancy and economics – Vol 1”
Goon, Gupta and Dasgupta “ Basic Statistics”
Reference Books:
Francis Scheid : Numerical Analysis edn. 1968 Schaum Publishing Co.
Gerald C.F and Patrick D. Wheatley : applied Numerical analysis , third edn. 1984 Addison Wesley.
M.K.Jain , S.R.K. Iyengar and R.K. Jain : Numerical Methods for scientific and Engineering Computation ,
edn. 1985, Wiley Estern